Results 1 to 10 of about 947,968 (27)

Smooth affine group schemes over the dual numbers [PDF]

open access: yesÉpijournal de Géométrie Algébrique, 2019
We provide an equivalence between the category of affine, smooth group schemes over the ring of generalized dual numbers $k[I]$, and the category of extensions of the form $1 \to \text{Lie}(G, I) \to E \to G \to 1$ where G is an affine, smooth group ...
Matthieu ROMAGNY, Dajano Tossici
doaj   +1 more source

Periodic balanced binary triangles [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2017
A binary triangle of size $n$ is a triangle of zeroes and ones, with $n$ rows, built with the same local rule as the standard Pascal triangle modulo $2$.
Jonathan Chappelon
doaj   +1 more source

Smooth numbers in Beatty sequences [PDF]

open access: yesarXiv, 2021
An asymptotic formula is given for the number of y-smooth numbers up to x in a Beatty sequence corresponding to an irrational number of finite type.
arxiv  

Enumerative Galois theory for number fields [PDF]

open access: yesarXiv, 2023
Recently Bhargava counted number fields with prescribed Galois group. We improve the bound in four specific cases.
arxiv  

Invitation to higher local fields (Introduction) [PDF]

open access: yesGeom. Topol. Monogr. Volume 3(2000) iii-xi, 2000
The monograph "Invitation to higher local fields" is the result of the conference on higher local fields held in Muenster, August 29 to September 5, 1999. The aim is to provide an introduction to higher local fields (more generally complete discrete valuation fields with arbitrary residue field) and render the main ideas of this theory (Part I), as ...
arxiv  

Carlitz q-Bernoulli numbers and q-Stirling numbers [PDF]

open access: yesarXiv, 2007
In this paper we consider carlitz q-Bernoulli numbers and q-stirling numbers of the first and the second kind. From these numbers we derive many interesting formulae associated with q-Bernoulli numbers.
arxiv  

q-Bernoulli numbers and Stirling numbers(2) [PDF]

open access: yesarXiv, 2007
In this paper we study q-Bernoulli numbers and polynomials related to q-Stirling numbers. From thsese studying we investigate some interesting q-stirling numbers' identities related to q-Bernoulli numbers.
arxiv  

On the distance between perfect numbers [PDF]

open access: yesarXiv, 2012
It is shown that there exist infinitely many triangular numbers (congruent to 3 mod 12) which cannot be the distance between two perfect numbers.
arxiv  

Rank 3 filtered $(\varphi,N)$-modules [PDF]

open access: yesarXiv, 2012
We classify 3-dimensional semistable Frob-semisimple representations of $G_{\mathbb{Q}_{p^{f}}}.$
arxiv  

A note on Burgess bound [PDF]

open access: yesarXiv, 2017
We use GL(2) delta method to establish the Burgess bound.
arxiv  

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